TY - JOUR T1 - Light-induced fractional quantum Hall phases in graphene JF - Physical Review Letters Y1 - 2017 A1 - Areg Ghazaryan A1 - Tobias Graß A1 - Michael Gullans A1 - Pouyan Ghaemi A1 - Mohammad Hafezi AB -

We show how to realize two-component fractional quantum Hall phases in monolayer graphene by optically driving the system. A laser is tuned into resonance between two Landau levels, giving rise to an effective tunneling between these two synthetic layers. Remarkably, because of this coupling, the interlayer interaction at non-zero relative angular momentum can become dominant, resembling a hollow-core pseudo-potential. In the weak tunneling regime, this interaction favors the formation of singlet states, as we explicitly show by numerical diagonalization, at fillings ν = 1/2 and ν = 2/3. We discuss possible candidate phases, including the Haldane-Rezayi phase, the interlayer Pfaffian phase, and a Fibonacci phase. This demonstrates that our method may pave the way towards the realization of non-Abelian phases, as well as the control of topological phase transitions, in graphene quantum Hall systems using optical fields and integrated photonic structures.

VL - 119 U4 - 247403 UR - https://arxiv.org/abs/1612.08748 CP - 24 U5 - 10.1103/PhysRevLett.119.247403 ER -